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Finding the Third Proportional to 856,774 and 1,881,671

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Solution

The third proportional to 856,774 and 1,881,671 is: 4,132,578.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,774 : 1,881,671 = 1,881,671 : x
  2. Step 2: Convert to fraction form
    856,774/1,881,671 = 1,881,671/x
  3. Step 3: Cross multiply
    856,774x = 1,881,671 × 1,881,671
  4. Step 4: Simplify right side
    856,774x = 3,540,685,752,241
  5. Step 5: Solve for x
    x = 3,540,685,752,241/856,774
  6. Step 6: Final answer
    x = 4,132,578.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.